Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundle

Details Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundle Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundle

2004-05-12

arxiv.org/abs/math/0405218v1

Mathematics

Differential Geometry

Scientific paper

We generalize reduction theorems for classical connections to operators with
values in $k$-th order natural bundles. Using the first reduction theorem in
order two we classify all (0,2)-tensor fields on the cotangent bundle of a
manifold with a linear (non-symmetric) connection.

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